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Finding the Fourth Proportional to 51,949.70, 71,690.92 and 28,076.32

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Solution

The fourth proportional to 51,949.70, 71,690.92 and 28,076.32 is: 38,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,949.70 : 71,690.92 = 28,076.32 : x
  2. Step 2: Convert to fraction form
    51,949.70/71,690.92 = 28,076.32/x
  3. Step 3: Cross multiply
    51,949.70x = 71,690.92 × 28,076.32
  4. Step 4: Simplify right side
    51,949.70x = 2,012,817,211.01
  5. Step 5: Solve for x
    x = 2,012,817,211.01/51,949.70
  6. Step 6: Final answer
    x = 38,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.